After a dismal qualifying campaign, El Tri finally hit form against the Oceania champions in front of 105,000 fans at Mexico City's Azteca stadium last week.
"I know that the score is large for us but we have to try to increase the advantage in the second leg to get the ticket to Brazil 2014," he said.
Former Barcelona defender Rafael Marquez said the fact that Mexico had to contest a play-off half a world away from home in order make the World Cup was enough to stop Miguel Herrera's men becoming over-confident.
After barely scraping into fourth position in CONCACAF qualifying, Marquez said the chance to qualify against New Zealand was a reprieve the Mexicans were determined not to squander.
"Without doubt it's been difficult to see Mexico in a play-off but we're here and we've got to show our best and continue to work hard to ensure we get through," he said.
The world's 24th ranked team, regarded as a regional footballing powerhouse, won only two of their 10 CONCACAF qualifiers, scoring a paltry seven goals and shedding three coaches along the way.
In turning around Mexico's fortunes, Herrera shunned Europe-based stars such as Manchester United's Javier Hernandez and Villarreal's Giovani dos Santos, opting instead for domestic players.
He is set to adopt the same policy in Wellington, where the All Whites are keen to make amends before 37,000 fans on home soil for a loss dubbed "the massacre at the Azteca" by New Zealand media.
Kiwis stare up at mountain
The hosts have only ever reached two World Cups and were already huge underdogs going into the first leg against a footballing nation that has played in 14 of the last 19 tournaments.
Captain Tommy Smith said his team, who need a minimum 4-0 scoreline to achieve an unlikely upset, needed to attack from the offset, abandoning the negative tactics that cost them dearly in the first leg.
"I think that's the only way forward really, we have to get an early goal and put them on the back foot as soon as possible," he said.
"With the result in Mexico, we felt like we let the fans down a little bit, so we just have to go all guns blazing and do as well as we can."